Algebra
A positive integer has 1001 digits all of which are 1 if this integer is divided by 1001 then find remainder
A positive integer has 1001 digits all of which are 1 if this integer is divided by 1001 then find remainder
1 Answer
Srutarshi Tripathi
The number N: (101002 – 1)/9
Now, by Fermat’s Little Theorem , 101001 = 10 (mod 1001)
or, 101002 – 1 = 99 (mod 1001)
or, (101002 – 1)/9 = 11 (mod 1001)
Hence, THE REQUIRED REMAINDER IS 11 (ANSWER)
Other Related Questions on algebra
How do you write “the product of 18 and q” as an algebraic expression?
How do you write “the product of 18 and q” as an algebraic expression?
algebra
Last Activity: 2 Years ago